Find the component vectors if the given changes are made in the indicated examples of this section.

In Example 4, change 53.5° to 45.0°.

Data from Example 4

The tension T in a cable supporting the sign shown in Fig. 9.14(a) is 85.0 lb. If the cable makes an angle of 53.5° with the horizontal, find the horizontal and vertical components of the tension. The tension is the force the cable exerts on the sign. Showing the tension in Fig. 9.14(b), we see that

Note that T_y > T_x which should be the case for an acute angle greater than 45°.

T, = T sin 53.5 = 85.0 sin 53.5 = T, = = 68.3 lb T cos 53.5 = 85.0 cos 53.5 50.6 lb